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Finding the Fourth Proportional to 202,048.10, 303,061.24 and 61,806.74

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Solution

The fourth proportional to 202,048.10, 303,061.24 and 61,806.74 is: 92,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,048.10 : 303,061.24 = 61,806.74 : x
  2. Step 2: Convert to fraction form
    202,048.10/303,061.24 = 61,806.74/x
  3. Step 3: Cross multiply
    202,048.10x = 303,061.24 × 61,806.74
  4. Step 4: Simplify right side
    202,048.10x = 18,731,227,264.76
  5. Step 5: Solve for x
    x = 18,731,227,264.76/202,048.10
  6. Step 6: Final answer
    x = 92,706.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.